@RMobley when testing this on my end, “Contact → Company (Primary)” reflects the hyperlinked company name along with the icon.
I can’t explain where the “Primary associated company” column comes from, this might be a legacy or bug. If you want to get to the bottom of it, I would say the best option would be to reach out to HubSpot support who can investigate directly in your portal, via chat or email in-app.
Best regards!